OFFSET
0,2
REFERENCES
L. B. W. Jolley, Summation of series, Dover Publications Inc. (New York), 1961, p. 46 (series n. 250).
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Anthony Sofo, Euler related binomial sums, Indian J. Pure Appl. Math. 50 (1) (2019) 149-160, S(3).
FORMULA
Equals ( Pi*sqrt(3)/3 - log(3) )/4.
EXAMPLE
0.1787967688915270397997082551799075069091439225674977809587976504...
1/(1*2*3) + 1/(4*5*6) + 1/(7*8*9) + 1/(10*11*12) + 1/(13*14*15) + ...
MAPLE
evalf[100]((Pi*sqrt(3) - 3*log(3))/12 ); # G. C. Greubel, Aug 11 2019
MATHEMATICA
RealDigits[(Pi Sqrt[3]/3 - Log[3])/4, 10, 100][[1]]
PROG
(PARI) default(realprecision, 100); (Pi*sqrt(3) - 3*log(3))/12 \\ G. C. Greubel, Aug 11 2019
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (Pi(R)*Sqrt(3) - 3*Log(3))/12; // G. C. Greubel, Aug 11 2019
(Sage) numerical_approx((pi*sqrt(3) - 3*log(3))/12, digits=100) # G. C. Greubel, Aug 11 2019
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Bruno Berselli, Mar 17 2014
STATUS
approved